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Finding the Fourth Proportional to 24,148, 33,324.36 and 14,083.42

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Solution

The fourth proportional to 24,148, 33,324.36 and 14,083.42 is: 19,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148 : 33,324.36 = 14,083.42 : x
  2. Step 2: Convert to fraction form
    24,148/33,324.36 = 14,083.42/x
  3. Step 3: Cross multiply
    24,148x = 33,324.36 × 14,083.42
  4. Step 4: Simplify right side
    24,148x = 469,320,958.11
  5. Step 5: Solve for x
    x = 469,320,958.11/24,148
  6. Step 6: Final answer
    x = 19,435.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.